A boundary element formulation for a class of non-local damage models

1999 ◽  
Vol 36 (24) ◽  
pp. 3617-3638 ◽  
Author(s):  
R. García ◽  
J. Flórez-López ◽  
M. Cerrolaza
Keyword(s):  
Boundary Element ◽  
Element Formulation ◽  
Local Damage ◽  
Damage Models ◽  
Non Local

Non-local damage models in manufacturing simulations

2015 ◽  
Vol 49 ◽  
pp. 548-560 ◽  
Author(s):  
Olufunminiyi Abiri ◽  
Lars-Erik Lindgren
Keyword(s):  
Local Damage ◽  
Damage Models ◽  
Non Local

scholarly journals Viscoplastic Regularization of Local Damage Models: A Latent Solution

2012 ◽  
Vol 504-506 ◽  
pp. 845-850 ◽  
Author(s):  
M.S. Niazi ◽  
H.H. Wisselink ◽  
V. Timo Meinders
Keyword(s):  
Deformation Rate ◽  
Numerical Study ◽  
Physical Phenomenon ◽  
Damage Model ◽  
Mesh Size ◽  
Shear Loading ◽  
Local Damage ◽  
Damage Models ◽  
Rate Effects ◽  
Non Local

Local damage models are known to produce pathological mesh dependence in finite element simulations. The solution is to either use a regularization technique or to adopt a non-local damage model. Viscoplasticity is one technique which can regularize the mesh dependence of local damage model by incorporating a physical phenomenon in the constitutive model i.e. rate effects. A detailed numerical study of viscoplastic regularization is carried out in this work. Two case studies were considered i.e. a bar with shear loading and a sheet metal under tensile loading. The influence of hardening / softening parameters, prescribed deformation rate and mesh size on the regularization was studied. It was found that the primary viscoplastic length scale is a function of hardening and softening parameters but does not depend upon the deformation rate. Mesh dependency appeared at higher damage values. This mesh dependence can be reduced by mesh refinement in the localized region and also by increasing the deformation rates. The viscoplastic regularization was successfully used with a local anisotropic damage model to predict failure in a cross die drawing process with the actual physical process parameters.

A non-local damage approach for the boundary element method

2019 ◽  
Vol 69 ◽  
pp. 63-76 ◽  
Author(s):  
R.G. Peixoto ◽  
S.S. Penna ◽  
R.L.S. Pitangueira ◽  
G.O. Ribeiro
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Local Damage ◽  
Non Local ◽  
Element Method

High-performance parallel simulation of structure degradation using non-local damage models

2007 ◽  
Vol 71 (3) ◽  
pp. 253-276 ◽  
Author(s):  
Norbert Germain ◽  
Jacques Besson ◽  
Frédéric Feyel ◽  
Pierre Gosselet
Keyword(s):  
High Performance ◽  
Parallel Simulation ◽  
Local Damage ◽  
Damage Models ◽  
Structure Degradation ◽  
Non Local

Reduced-Order Modeling of Unsteady Flows About Complex Configurations Using the Boundary Element Method

2002 ◽  
Vol 124 (4) ◽  
pp. 988-993 ◽  
Author(s):  
V. Esfahanian ◽  
M. Behbahani-nejad
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Three Dimensional ◽  
Unsteady Flows ◽  
Reduced Order Modeling ◽  
Element Formulation ◽  
Reduced Order Models ◽  
Reduced Order ◽  
Naca 0012 ◽  
Element Method

An approach to developing a general technique for constructing reduced-order models of unsteady flows about three-dimensional complex geometries is presented. The boundary element method along with the potential flow is used to analyze unsteady flows over two-dimensional airfoils, three-dimensional wings, and wing-body configurations. Eigenanalysis of unsteady flows over a NACA 0012 airfoil, a three-dimensional wing with the NACA 0012 section and a wing-body configuration is performed in time domain based on the unsteady boundary element formulation. Reduced-order models are constructed with and without the static correction. The numerical results demonstrate the accuracy and efficiency of the present method in reduced-order modeling of unsteady flows over complex configurations.

Theory of a Time Domain Boundary Element Development for the Dynamic Analysis of Coupled Multiphase Porous Media

2017 ◽  
Vol 08 (03n04) ◽  
pp. 1750007
Author(s):  
Pooneh Maghoul ◽  
Behrouz Gatmiri
Keyword(s):  
Boundary Element ◽  
Time Domain ◽  
Unsaturated Soils ◽  
Water Pressure ◽  
Domain Boundary ◽  
Fundamental Solutions ◽  
Element Formulation ◽  
Inertia Effects ◽  
Coupled Equations ◽  
The Time Domain

This paper presents an advanced formulation of the time-domain two-dimensional (2D) boundary element method (BEM) for an elastic, homogeneous unsaturated soil subjected to dynamic loadings. Unlike the usual time-domain BEM, the present formulation applies a convolution quadrature which requires only the Laplace-domain instead of the time-domain fundamental solutions. The coupled equations governing the dynamic behavior of unsaturated soils ignoring contributions of the inertia effects of the fluids (water and air) are derived based on the poromechanics theory within the framework of a suction-based mathematical model. In this formulation, the solid skeleton displacements [Formula: see text], water pressure [Formula: see text] and air pressure [Formula: see text] are presumed to be independent variables. The fundamental solutions in Laplace transformed-domain for such a dynamic [Formula: see text] theory have been obtained previously by authors. Then, the BE formulation in time is derived after regularization by partial integrations and time and spatial discretizations. Thereafter, the BE formulation is implemented in a 2D boundary element code (PORO-BEM) for the numerical solution. To verify the accuracy of this implementation, the displacement response obtained by the boundary element formulation is verified by comparison with the elastodynamics problem.

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